Computational grid design to improve three-dimensional parabolic equation modeling efficiency.

2009 ◽  
Vol 126 (4) ◽  
pp. 2305 ◽  
Author(s):  
Melanie E. Austin ◽  
N. Ross Chapman
Keyword(s):  
Parabolic Equation ◽  
Three Dimensional ◽  
Computational Grid ◽  
Equation Modeling ◽  
Grid Design

Three dimensional parabolic equation modeling of an internal wave event during Shallow Water 2006.

2010 ◽  
Vol 127 (3) ◽  
pp. 1786-1786
Author(s):  
Georges A. Dossot ◽  
James H. Miller ◽  
Gopu R. Potty ◽  
James F. Lynch ◽  
Ying‐Tsong Lin ◽  
...  
Keyword(s):  
Parabolic Equation ◽  
Internal Wave ◽  
Shallow Water ◽  
Three Dimensional ◽  
Equation Modeling ◽  
Wave Event

THE USE OF TESSELLATION IN THREE-DIMENSIONAL PARABOLIC EQUATION MODELING

2011 ◽  
Vol 19 (03) ◽  
pp. 221-239 ◽  
Author(s):  
MELANIE E. AUSTIN ◽  
N. ROSS CHAPMAN
Keyword(s):  
Parabolic Equation ◽  
Horizontal Plane ◽  
Three Dimensional ◽  
Computation Time ◽  
Equation Model ◽  
Equation Modeling ◽  
Test Case ◽  
Benchmark Test ◽  
Grid Points ◽  
Grid Layout

A full three-dimensional parabolic equation model (MONM3D) has been developed that incorporates techniques that reduce the required number of model grid points and reduces computation time. The concept of tessellation is implemented in MONM3D, which allows the number of radial paths in the model grid to vary with range from the source, reducing the number of computational points in the horizontal plane. This design establishes a grid layout that is both numerically and computationally desirable. A benchmark test case is used to illustrate the accuracy and efficiency of the model.

Three dimensional parabolic equation modeling of acoustic intensity fluctuations due to internal wave phenomena.

2011 ◽  
Vol 129 (4) ◽  
pp. 2457-2457
Author(s):  
Georges A. Dossot ◽  
James H. Miller ◽  
Gopu R. Potty ◽  
Kevin B. Smith ◽  
Mohsen Badiey ◽  
...  
Keyword(s):  
Parabolic Equation ◽  
Internal Wave ◽  
Three Dimensional ◽  
Equation Modeling ◽  
Acoustic Intensity ◽  
Intensity Fluctuations ◽  
Wave Phenomena

scholarly journals Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation Model

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Xiao-Wei Guan ◽  
Li-Xin Guo ◽  
Ya-Jiao Wang ◽  
Qing-Liang Li
Keyword(s):  
Parabolic Equation ◽  
Digital Elevation Model ◽  
High Efficiency ◽  
Three Dimensional ◽  
Equation Modeling ◽  
Prediction Errors ◽  
Digital Elevation ◽  
Precise Representation ◽  
Cartesian Coordinate ◽  
Elevation Model

The parabolic equation method based on digital elevation model (DEM) is applied on propagation predictions over irregular terrains. Starting from a parabolic approximation to the Helmholtz equation, a wide-angle parabolic equation is deduced under the assumption of forward propagation and the split-step Fourier transform algorithm is used to solve it. The application of DEM is extended to the Cartesian coordinate system and expected to provide a precise representation of a three-dimensional surface with high efficiency. In order to validate the accuracy, a perfectly conducting Gaussian terrain profile is simulated and the results are compared with the shift map. As a consequence, a good agreement is observed. Besides, another example is given to provide a theoretical basis and reference for DEM selection. The simulation results demonstrate that the prediction errors will be obvious only when the resolution of the DEM used is much larger than the range step in the PE method.

On the solutions of a fourth order parabolic equation modeling epitaxial thin film growth

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Ning Duan ◽  
Xiaopeng Zhao ◽  
Xiufang Zhao
Keyword(s):  
Thin Film ◽  
Parabolic Equation ◽  
Fourth Order ◽  
Film Growth ◽  
Thin Film Growth ◽  
Equation Modeling ◽  
Epitaxial Thin Film ◽  
Epitaxial Thin Film Growth ◽  
Order Parabolic Equation ◽  
Fourth Order Parabolic Equation

AbstractIn this paper, we study the existence and uniqueness of global weak solution, the regularity of the solutions and the existence of global attractor for a fourth order parabolic equation modeling epitaxial thin film growth with Neumann boundary conditions in two space dimensions.

Going through the motions

2016 ◽  
Vol 4 (2) ◽  
pp. 149-175 ◽  
Author(s):  
Annamaria Kubovcikova
Keyword(s):  
Internal Consistency ◽  
Structural Equation ◽  
Three Dimensional ◽  
Equation Modeling ◽  
Content Type ◽  
Multiple Indicators ◽  
Concept Definition ◽  
Confirmatory Factor ◽  
Reflective Measurement ◽  
Stability And Consistency

Purpose – The purpose of this paper is to test the properties of the well-known three-dimensional adjustment scale, established by Black et al. (1988, 1989), namely, its dimensionality and internal consistency. The theoretical basis of the construct is discussed in relation to formative and reflective measurement approaches. Design/methodology/approach – Two different ways of organizing the adjustment items (random/non-random) were used to assess the internal consistency of the three-dimensional adjustment scale. The quantitative analysis presented is based on survey data from 468 assigned expatriates in Asia that were subjected to an exploratory and confirmatory factor analysis as well as a structural equation modeling – more specifically the multiple indicators multiple causes model (MIMIC). Findings – The study revealed that the adjustment construct is possibly misspecified, especially the general adjustment dimension, that was tested as a formative, not a reflective scale. There is further evidence that the wrong measurement approach skewed the coefficient that connects adjustment to performance, which is the key construct in its nomological network. Moreover, the dimensionality and the internal consistency of the scale are deteriorated to a large extent by randomization of the items. The findings highlight the need for a clear concept definition that would lead to an appropriate operationalization of the construct. Originality/value – The study is one of the few rigorously testing the properties of a construct that has been used for almost 30 years, thus yielding some novel conclusions about its stability and consistency.

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